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og 11 ds#35

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og 11 ds#35

by uptowngirl92 » Sun Jul 05, 2009 9:01 pm
3.2@#6

IF @ and # each represent single digits in the decimal above,what digit does @ represent??
1. when the decimal is rounded to the nearest tenth,3.2 is the result.
2. when the decimal is rounded to the nearest hundreth,3.24 is the result.

I got the answer as correct(e) but the whole concept of rounding is a bit shaky.Could somebody please treat this question as the "lesson for rounding" or "indepth analysis into decimals" or whatever and explain the A-Z of the concept??

thanks!!
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Source: — Data Sufficiency |
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by Robinmrtha » Sun Jul 05, 2009 9:09 pm
3.2@#6

IF @ and # each represent single digits in the decimal above,what digit does @ represent??
1. when the decimal is rounded to the nearest tenth,3.2 is the result.
2. when the decimal is rounded to the nearest hundreth,3.24 is the result.

Statement 1.
since 3.2 is the answer...
@<5
which can be 0,1,2,3 or 4
insufficient

Statement 2
rounding to the nearest hundreth 3.24 is the result...
So when @ is 3, # may be 5,6,7,8 or 9
or when @ is 4, # may be 1,2,3 or 4
So @ may be 3, 4....
insufficient

using both also we get @ may be 3 or 4
So insufficient...
Hence answer is E
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